6.263J / 16.37J focuses on the fundamentals of data communication networks. One goal is to give some insight into the rationale of why networks are structured the way they are today and to understand the issues facing the designers of next-generation data networks. Much of the course focuses on network algorithms and their performance. Students are expected to have a strong mathematical background and an understanding of probability theory. Topics discussed include: layered network architecture, Link Layer protocols, high-speed packet switching, queueing theory, Local Area Networks, and Wide Area Networking issues, including routing and flow control.

This task asks the students to solve a real-world problem involving unit rates (data per unit time) using units that many teens and pre-teens have heard of but may not know the definition for. While the computations involved are not particularly complex, the units will be abstract for many students.

This lesson incorporates sea surface data collected by NASA satellites. Data for three surface characteristics- height, temperature and speed- are used for several activities. Students examine the differences in speed of currents relative to distance from the Equator. Sea surface data anomalies are charted and further analyzed. In addition, surface current data is presented to examine patterns related to El Niño. Note that this is lesson three of five on the Ocean Motion website. Each lesson investigates ocean surface circulation using satellite and model data and can be done independently. See Related URL's for links to the Ocean Motion Website that provide science background information, data resources, teacher material, student guides and a lesson matrix.

Simulate the original experiment that proved that electrons can behave as waves. Watch electrons diffract off a crystal of atoms, interfering with themselves to create peaks and troughs of probability.

Do you have a big decimals test coming up? Or are you studying for your standardized math test? This site is both fun and helpful! On this site you can review the following topics: place values of decimals, how to read decimals, expanded notation for decimals, and how to convert fractions into decimals. On this site you can also review how to add, subtract, multiply, and divide decimals. You will also learn about terminating and repeating decimals.

This short video and interactive assessment activity is designed to teach fifth graders about determining the greatest quotient without calculation.

The Decimals Cruncher game will help you learn about decimal operations! You can choose to practice adding, subtracting, multiplying, or dividing. You can also pick how hard the game is. The game has 4 levels: easy, medium, hard, and killer. The Decimals Cruncher will keep track of your score. When you switch to a new operation (addition, subtraction, multiplication, or division), your score will start over again.

Students learn about and practice converting between fractions, decimals and percentages. Using a LEGO® MINDSTORMS® NXT robot and a touch sensor, each group inputs a fraction of its choosing. Team members convert this same fraction into a decimal, and then a percentage via hand calculations, and double check their work using the NXT robot. Then they observe the robot moving forward and record that distance. Students learn that the distance moved is a fraction of the full distance, based on the fraction that they input, so if they input ½, the robot moves half of the original distance. From this, students work backwards to compute the full distance. Groups then compete in a game in which they are challenged to move the robot as close as possible to a target distance by inputting a fraction into the NXT bot.

This short video and interactive assessment activity is designed to teach second graders about decomposing decimals into place values up to hundredths.

This short video and interactive assessment activity is designed to teach second graders about decomposing decimals into place values to tenths.

This unit is an EQuIP Exemplar for adult education (http://achieve.org/equip). Students will connect their prior, real-world knowledge to the concept of order in mathematics. They will go through a discovery process with content that will build a deep, conceptual understanding of the properties of operations to explain why we perform operations in a certain order when we see just the naked numbers.

During the academic year 2011-12, Dr Joel Feinstein gave five optional example classes to his second-year Mathematical Analysis students on Definitions, Proofs and Examples. Dr Feinstein recorded videos of these classes (presented here) to go along with his previous videos on 'How and why we do mathematical proofs'.
These sessions are intended to reinforce material from lectures, while also providing more opportunities for students to hone their skills in a number of areas, including the following:

•working with formal definitions

•making deductions from information given

•writing relatively routine proofs

•investigating the properties of examples

•thinking up examples with specified combinations of properties

The primary purpose of this task is to illustrate certain aspects of the mathematics described in the A.SSE.1. The task has students look for structure in algebraic expressions related to a context, and asks them to relate that structure to the context. In particular, it is worth emphasizing that the task requires no algebraic manipulation from the students.

Why do objects like wood float in water? Does it depend on size? Create a custom object to explore the effects of mass and volume on density. Can you discover the relationship? Use the scale to measure the mass of an object, then hold the object under water to measure its volume. Can you identify all the mystery objects?

In this first part of a two-part lab activity, students use triple balance beams and graduated cylinders to take measurements and calculate the densities of several common, irregularly shaped objects with the purpose to resolve confusion about mass and density. After this activity, conduct the associated Density Column Lab - Part 2 activity before presenting the associated Density & Miscibility lesson for discussion about concepts that explain what students have observed.

Concluding a two-part lab activity, students use triple balance beams and graduated cylinders to take measurements and calculate densities of several household liquids and compare them to the densities of irregularly shaped objects (as determined in Part 1). Then they create density columns with the three liquids and four solid items to test their calculations and predictions of the different densities. Once their density columns are complete, students determine the effect of adding detergent to the columns. After this activity, present the associated Density & Miscibility lesson for a discussion about why the column layers do not mix.

A lab where the students study the density of pennies. They will discover the limitations of measurements and the value of multiple trials.

This module addresses the problem of how to determine the density of the earth and has students do some field experiments to get the data they need to answer the problem.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)

This module addresses the problem of how to determine the size of a ton of rocks of a given composition and invites the student to figure out how to solve the problem.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)

This module addresses the real problem of determining the density of the Earth and invites the student to figure out how to solve the problem.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)